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          如何求variance component analysis中 各level的p值
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             如何求variance component analysis中 各level的p值
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               2013年9月5日 上午3:34
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              <p>
               属于variance component analysis 问题; nested ANOVA，没有fixed effect,仅有random effect;
               <br/>
               研究哪个因子对y的变异解释最多。我目前可以得到各因子（或level）分别解释variance的百分比，
               <br/>
               问题是：如何求得每个level的P值，以及对应的自由度df，和sums of squares (SS)。
               <br/>
               数据以《The R book》中hre.txt 为例，嵌套level包括为town/district/street/family/gender
              </p>
              <pre class="highlight ">library(ape)
library(nlme)
hierarchy &lt;-read.table("hre.txt",header=T)
attach(hierarchy)
model1&lt;-lme (subject~1,random=~1|town/district/street/family/gender)
varcomp(model1,T,F) # 可以看出gender能解释62%的variance</pre>
              <p>
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              <p>
               如何求得每个level的P值，以及对应的自由度df，和sums of squares (SS)。
              </p>
              <p>
              </p>
              <pre>subject	town	district	street	family	gender	replicate
0.6619806	A	d1	s1	f1	male	1
2.879195	A	d1	s1	f1	male	2
8.588237	A	d1	s1	f1	female	1
11.66618	A	d1	s1	f1	female	2
15.47548	A	d1	s1	f2	male	1
16.29736	A	d1	s1	f2	male	2
6.054205	A	d1	s1	f2	female	1
5.904179	A	d1	s1	f2	female	2
0.01	A	d1	s1	f3	male	1
0.01	A	d1	s1	f3	male	2
4.701072	A	d1	s1	f3	female	1
3.740198	A	d1	s1	f3	female	2
6.106496	A	d1	s2	f1	male	1
4.518274	A	d1	s2	f1	male	2
8.026298	A	d1	s2	f1	female	1
6.948835	A	d1	s2	f1	female	2
4.50793	A	d1	s2	f2	male	1
3.991323	A	d1	s2	f2	male	2
6.809771	A	d1	s2	f2	female	1
6.477788	A	d1	s2	f2	female	2
0.01	A	d1	s2	f3	male	1
0.01	A	d1	s2	f3	male	2
0.01	A	d1	s2	f3	female	1
0.01	A	d1	s2	f3	female	2
0.01	A	d1	s3	f1	male	1
0.01	A	d1	s3	f1	male	2
6.790752	A	d1	s3	f1	female	1
6.648476	A	d1	s3	f1	female	2
3.449483	A	d1	s3	f2	male	1
4.503383	A	d1	s3	f2	male	2
2.415385	A	d1	s3	f2	female	1
3.052966	A	d1	s3	f2	female	2
5.791482	A	d1	s3	f3	male	1
4.732365	A	d1	s3	f3	male	2
9.991294	A	d1	s3	f3	female	1
10.50397	A	d1	s3	f3	female	2
11.60749	A	d1	s4	f1	male	1
13.46555	A	d1	s4	f1	male	2
11.90587	A	d1	s4	f1	female	1
11.72454	A	d1	s4	f1	female	2
9.74167	A	d1	s4	f2	male	1
8.725872	A	d1	s4	f2	male	2
0.01	A	d1	s4	f2	female	1
0.01	A	d1	s4	f2	female	2
0.944318	A	d1	s4	f3	male	1
1.298413	A	d1	s4	f3	male	2
11.05687	A	d1	s4	f3	female	1
10.71421	A	d1	s4	f3	female	2
11.20633	A	d2	s1	f1	male	1
10.71834	A	d2	s1	f1	male	2
15.16012	A	d2	s1	f1	female	1
15.44777	A	d2	s1	f1	female	2
12.2886	A	d2	s1	f2	male	1
11.83958	A	d2	s1	f2	male	2
10.64832	A	d2	s1	f2	female	1
9.212352	A	d2	s1	f2	female	2
10.72369	A	d2	s1	f3	male	1
9.581257	A	d2	s1	f3	male	2
12.76584	A	d2	s1	f3	female	1
12.75435	A	d2	s1	f3	female	2
8.270953	A	d2	s2	f1	male	1
8.266839	A	d2	s2	f1	male	2
2.380743	A	d2	s2	f1	female	1
4.66302	A	d2	s2	f1	female	2
9.799552	A	d2	s2	f2	male	1
9.161448	A	d2	s2	f2	male	2
10.41292	A	d2	s2	f2	female	1
11.28436	A	d2	s2	f2	female	2
2.195272	A	d2	s2	f3	male	1
2.475312	A	d2	s2	f3	male	2
6.556589	A	d2	s2	f3	female	1
5.293934	A	d2	s2	f3	female	2
10.49016	A	d2	s3	f1	male	1
8.625669	A	d2	s3	f1	male	2
13.16962	A	d2	s3	f1	female	1
10.98768	A	d2	s3	f1	female	2
3.04656	A	d2	s3	f2	male	1
3.728362	A	d2	s3	f2	male	2
11.23803	A	d2	s3	f2	female	1
13.30879	A	d2	s3	f2	female	2
1.702212	A	d2	s3	f3	male	1
2.457424	A	d2	s3	f3	male	2
8.956464	A	d2	s3	f3	female	1
7.730216	A	d2	s3	f3	female	2
4.62492	A	d2	s4	f1	male	1
4.561135	A	d2	s4	f1	male	2
5.844032	A	d2	s4	f1	female	1
8.525866	A	d2	s4	f1	female	2
4.777284	A	d2	s4	f2	male	1
5.557087	A	d2	s4	f2	male	2
13.52418	A	d2	s4	f2	female	1
14.16895	A	d2	s4	f2	female	2
6.471825	A	d2	s4	f3	male	1
5.94735	A	d2	s4	f3	male	2
11.15753	A	d2	s4	f3	female	1
11.3682	A	d2	s4	f3	female	2
0.01	A	d3	s1	f1	male	1
0.01	A	d3	s1	f1	male	2
4.715916	A	d3	s1	f1	female	1
5.228295	A	d3	s1	f1	female	2
3.973444	A	d3	s1	f2	male	1
3.981231	A	d3	s1	f2	male	2
4.96178	A	d3	s1	f2	female	1
4.599041	A	d3	s1	f2	female	2
8.775453	A	d3	s1	f3	male	1
6.700645	A	d3	s1	f3	male	2
11.93754	A	d3	s1	f3	female	1
10.96116	A	d3	s1	f3	female	2
2.263072	A	d3	s2	f1	male	1
0.2618591	A	d3	s2	f1	male	2
7.419957	A	d3	s2	f1	female	1
8.02594	A	d3	s2	f1	female	2
10.37418	A	d3	s2	f2	male	1
12.81642	A	d3	s2	f2	male	2
6.974825	A	d3	s2	f2	female	1
8.006286	A	d3	s2	f2	female	2
5.013546	A	d3	s2	f3	male	1
4.192765	A	d3	s2	f3	male	2
14.54785	A	d3	s2	f3	female	1
13.20773	A	d3	s2	f3	female	2
9.79232	A	d3	s3	f1	male	1
10.51047	A	d3	s3	f1	male	2
3.126418	A	d3	s3	f1	female	1
4.991388	A	d3	s3	f1	female	2
0.01	A	d3	s3	f2	male	1
0.01	A	d3	s3	f2	male	2
0.06234369	A	d3	s3	f2	female	1
0.01	A	d3	s3	f2	female	2
1.184433	A	d3	s3	f3	male	1
2.664248	A	d3	s3	f3	male	2
3.160999	A	d3	s3	f3	female	1
1.787963	A	d3	s3	f3	female	2
2.516222	A	d3	s4	f1	male	1
4.775719	A	d3	s4	f1	male	2
2.299831	A	d3	s4	f1	female	1
2.805318	A	d3	s4	f1	female	2
1.616762	A	d3	s4	f2	male	1
0.01	A	d3	s4	f2	male	2
0.4152598	A	d3	s4	f2	female	1
2.47291	A	d3	s4	f2	female	2
2.595501	A	d3	s4	f3	male	1
2.486362	A	d3	s4	f3	male	2
1.643814	A	d3	s4	f3	female	1
2.295346	A	d3	s4	f3	female	2
5.450125	B	d1	s1	f1	male	1
4.430828	B	d1	s1	f1	male	2
12.05774	B	d1	s1	f1	female	1
11.46125	B	d1	s1	f1	female	2
13.70694	B	d1	s1	f2	male	1
14.62585	B	d1	s1	f2	male	2
16.53306	B	d1	s1	f2	female	1
17.44066	B	d1	s1	f2	female	2
11.03856	B	d1	s1	f3	male	1
9.878997	B	d1	s1	f3	male	2
7.592973	B	d1	s1	f3	female	1
8.396865	B	d1	s1	f3	female	2
8.536844	B	d1	s2	f1	male	1
7.8782	B	d1	s2	f1	male	2
8.576695	B	d1	s2	f1	female	1
8.506075	B	d1	s2	f1	female	2
8.35098	B	d1	s2	f2	male	1
9.59066	B	d1	s2	f2	male	2
19.10342	B	d1	s2	f2	female	1
18.84336	B	d1	s2	f2	female	2
12.68889	B	d1	s2	f3	male	1
11.63962	B	d1	s2	f3	male	2
12.17998	B	d1	s2	f3	female	1
12.9682	B	d1	s2	f3	female	2
3.466918	B	d1	s3	f1	male	1
4.066161	B	d1	s3	f1	male	2
6.948143	B	d1	s3	f1	female	1
6.740771	B	d1	s3	f1	female	2
7.891265	B	d1	s3	f2	male	1
5.941907	B	d1	s3	f2	male	2
4.784466	B	d1	s3	f2	female	1
4.223725	B	d1	s3	f2	female	2
5.56884	B	d1	s3	f3	male	1
5.749856	B	d1	s3	f3	male	2
3.837309	B	d1	s3	f3	female	1
3.600257	B	d1	s3	f3	female	2
0.01	B	d1	s4	f1	male	1
0.01	B	d1	s4	f1	male	2
3.612348	B	d1	s4	f1	female	1
3.617047	B	d1	s4	f1	female	2
7.396746	B	d1	s4	f2	male	1
9.039759	B	d1	s4	f2	male	2
8.72175	B	d1	s4	f2	female	1
9.682177	B	d1	s4	f2	female	2
13.00343	B	d1	s4	f3	male	1
11.53357	B	d1	s4	f3	male	2
8.470871	B	d1	s4	f3	female	1
7.985914	B	d1	s4	f3	female	2
0.01	B	d2	s1	f1	male	1
0.01	B	d2	s1	f1	male	2
5.594134	B	d2	s1	f1	female	1
3.254951	B	d2	s1	f1	female	2
5.60201	B	d2	s1	f2	male	1
7.209337	B	d2	s1	f2	male	2
17.25317	B	d2	s1	f2	female	1
16.08112	B	d2	s1	f2	female	2
7.792349	B	d2	s1	f3	male	1
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14.09426	B	d2	s1	f3	female	1
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14.40885	B	d3	s1	f1	male	1
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6.154113	C	d1	s1	f3	male	1
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7.082737	C	d1	s2	f3	male	1
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19.68268	C	d1	s2	f3	female	1
22.07065	C	d1	s2	f3	female	2
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4.281674	E	d1	s1	f2	male	2
8.408525	E	d1	s1	f2	female	1
9.029106	E	d1	s1	f2	female	2
2.689855	E	d1	s1	f3	male	1
1.312266	E	d1	s1	f3	male	2
2.08993	E	d1	s1	f3	female	1
0.7054377	E	d1	s1	f3	female	2
5.998393	E	d1	s2	f1	male	1
3.769742	E	d1	s2	f1	male	2
2.222714	E	d1	s2	f1	female	1
1.642447	E	d1	s2	f1	female	2
11.11657	E	d1	s2	f2	male	1
10.18672	E	d1	s2	f2	male	2
10.82244	E	d1	s2	f2	female	1
11.22989	E	d1	s2	f2	female	2
4.555011	E	d1	s2	f3	male	1
5.757238	E	d1	s2	f3	male	2
4.147273	E	d1	s2	f3	female	1
6.102974	E	d1	s2	f3	female	2
7.692329	E	d1	s3	f1	male	1
9.903537	E	d1	s3	f1	male	2
12.35161	E	d1	s3	f1	female	1
14.06132	E	d1	s3	f1	female	2
9.044701	E	d1	s3	f2	male	1
9.207673	E	d1	s3	f2	male	2
10.70074	E	d1	s3	f2	female	1
10.10456	E	d1	s3	f2	female	2
6.704836	E	d1	s3	f3	male	1
5.400482	E	d1	s3	f3	male	2
10.00354	E	d1	s3	f3	female	1
8.669347	E	d1	s3	f3	female	2
7.857525	E	d1	s4	f1	male	1
7.367498	E	d1	s4	f1	male	2
12.20561	E	d1	s4	f1	female	1
14.03586	E	d1	s4	f1	female	2
0.01	E	d1	s4	f2	male	1
0.01	E	d1	s4	f2	male	2
5.875587	E	d1	s4	f2	female	1
6.413714	E	d1	s4	f2	female	2
5.064759	E	d1	s4	f3	male	1
4.103818	E	d1	s4	f3	male	2
5.739083	E	d1	s4	f3	female	1
4.662114	E	d1	s4	f3	female	2
4.590762	E	d2	s1	f1	male	1
4.286686	E	d2	s1	f1	male	2
1.637703	E	d2	s1	f1	female	1
0.6983802	E	d2	s1	f1	female	2
9.012536	E	d2	s1	f2	male	1
7.396672	E	d2	s1	f2	male	2
7.232719	E	d2	s1	f2	female	1
9.108594	E	d2	s1	f2	female	2
11.64634	E	d2	s1	f3	male	1
12.34766	E	d2	s1	f3	male	2
3.188852	E	d2	s1	f3	female	1
5.543425	E	d2	s1	f3	female	2
7.138005	E	d2	s2	f1	male	1
7.344279	E	d2	s2	f1	male	2
10.76652	E	d2	s2	f1	female	1
11.69748	E	d2	s2	f1	female	2
6.244127	E	d2	s2	f2	male	1
5.858389	E	d2	s2	f2	male	2
2.651324	E	d2	s2	f2	female	1
1.732347	E	d2	s2	f2	female	2
10.46089	E	d2	s2	f3	male	1
10.83815	E	d2	s2	f3	male	2
0.01	E	d2	s2	f3	female	1
0.01	E	d2	s2	f3	female	2
4.99224	E	d2	s3	f1	male	1
5.904003	E	d2	s3	f1	male	2
9.2689	E	d2	s3	f1	female	1
8.229932	E	d2	s3	f1	female	2
0.6843314	E	d2	s3	f2	male	1
0.01	E	d2	s3	f2	male	2
3.552699	E	d2	s3	f2	female	1
3.044754	E	d2	s3	f2	female	2
5.583675	E	d2	s3	f3	male	1
4.674341	E	d2	s3	f3	male	2
4.622381	E	d2	s3	f3	female	1
3.93581	E	d2	s3	f3	female	2
9.24792	E	d2	s4	f1	male	1
10.69381	E	d2	s4	f1	male	2
2.153464	E	d2	s4	f1	female	1
0.1258462	E	d2	s4	f1	female	2
2.89169	E	d2	s4	f2	male	1
4.033199	E	d2	s4	f2	male	2
6.888638	E	d2	s4	f2	female	1
4.932302	E	d2	s4	f2	female	2
2.871125	E	d2	s4	f3	male	1
2.812198	E	d2	s4	f3	male	2
0.01	E	d2	s4	f3	female	1
0.01	E	d2	s4	f3	female	2
9.324426	E	d3	s1	f1	male	1
8.373882	E	d3	s1	f1	male	2
12.85067	E	d3	s1	f1	female	1
11.78978	E	d3	s1	f1	female	2
8.659206	E	d3	s1	f2	male	1
6.8158	E	d3	s1	f2	male	2
7.065309	E	d3	s1	f2	female	1
7.729882	E	d3	s1	f2	female	2
3.059142	E	d3	s1	f3	male	1
2.988241	E	d3	s1	f3	male	2
7.281658	E	d3	s1	f3	female	1
9.085462	E	d3	s1	f3	female	2
3.858439	E	d3	s2	f1	male	1
6.572179	E	d3	s2	f1	male	2
8.153455	E	d3	s2	f1	female	1
7.558237	E	d3	s2	f1	female	2
18.15264	E	d3	s2	f2	male	1
16.8411	E	d3	s2	f2	male	2
13.59172	E	d3	s2	f2	female	1
13.64405	E	d3	s2	f2	female	2
11.88995	E	d3	s2	f3	male	1
10.57373	E	d3	s2	f3	male	2
9.716705	E	d3	s2	f3	female	1
7.158374	E	d3	s2	f3	female	2
4.646296	E	d3	s3	f1	male	1
4.99078	E	d3	s3	f1	male	2
9.85943	E	d3	s3	f1	female	1
11.07438	E	d3	s3	f1	female	2
8.189022	E	d3	s3	f2	male	1
7.427627	E	d3	s3	f2	male	2
12.80973	E	d3	s3	f2	female	1
13.0425	E	d3	s3	f2	female	2
10.05764	E	d3	s3	f3	male	1
9.0393	E	d3	s3	f3	male	2
2.548266	E	d3	s3	f3	female	1
0.9408655	E	d3	s3	f3	female	2
15.86447	E	d3	s4	f1	male	1
15.74412	E	d3	s4	f1	male	2
12.85645	E	d3	s4	f1	female	1
15.0812	E	d3	s4	f1	female	2
15.01267	E	d3	s4	f2	male	1
15.1419	E	d3	s4	f2	male	2
19.2198	E	d3	s4	f2	female	1
18.7327	E	d3	s4	f2	female	2
8.879525	E	d3	s4	f3	male	1
8.128476	E	d3	s4	f3	male	2
3.588774	E	d3	s4	f3	female	1
6.015632	E	d3	s4	f3	female	2
</pre>
              <p>
               谢谢。
              </p>
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               2013年9月9日 上午12:34
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              <p>
               有人知道吗？
               <br/>
               属于variance component analysis 问题; nested ANOVA，没有fixed effect,仅有random effect;
               <br/>
               研究哪个因子对y的变异解释最多。我目前可以得到各因子（或level）分别解释variance的百分比，
               <br/>
               问题是：如何求得每个level的P值，以及对应的自由度df，和sums of squares (SS)。
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               2013年9月9日 上午10:28
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              <p>
               找本相关的教材，上边都有写。
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               2013年9月11日 下午2:30
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               回复 第3楼 的 yangyuancn：
              </p>
              <p>
               我查了《The R book》，网上搜了相关内容，能计算出各部分的比例，但是都没有如何计算P值，以及SS，df。楼上看来是知道如何计算，还请您赐教。谢谢。
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